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19
MCQ (Single Correct Answer)

If the integers $r>1, n>2$ and coefficients of $(3 r)$ th and $(r+2)$ nd terms in the Binomial expansion of $(1+x)^{2 n}$ are equal, then

A
$n=2 r$
B
$n=3 r$
C
$n=2 r+1$
D
None of these
20
MCQ (Single Correct Answer)

The two successive terms in the expansion of $(1+x)^{24}$ whose coefficients are in the ratio $1:4$ are

A
3rd and 4th
B
4th and 5th
C
5th and 6th
D
6th and 7th
21
MCQ (Single Correct Answer)

The coefficient of $x^n$ in the expansion of $(1+x)^{2 n}$ and $(1+x)^{2 n-1}$ are in the ratio

A
$1: 2$
B
$1: 3$
C
$3: 1$
D
$2:1$
22
MCQ (Single Correct Answer)

If the coefficients of 2 nd , 3 rd and the 4 th terms in the expansion of $(1+x)^n$ are in AP, then the value of $n$ is

A
2
B
7
C
11
D
14
23
MCQ (Single Correct Answer)

If $A$ and $B$ are coefficient of $x^n$ in the expansions of $(1+x)^{2 n}$ and $(1+x)^{2 n-1}$ respectively, then $\frac{A}{B}$ equals to

A
1
B
2
C
$\frac{1}{2}$
D
$\frac{1}{n}$